LCM of 523, 854, 956, 671, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 854, 956, 671, 950 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 523, 854, 956, 671, 950. So, keep reading to learn more.
Given numbers are 523,854,956,671,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,854,956,671,950 is 1115510727100.
Find LCM of 523,854,956,671,950 with Prime Factorization
| 2 | 523, 854, 956, 671, 950 |
| 61 | 523, 427, 478, 671, 475 |
| 523, 7, 478, 11, 475 |
Multiply the prime numbers at the bottom and the left side.
2 x 61 x 523 x 7 x 478 x 11 x 475 = 1115510727100
Therefore, the lowest common multiple of 523,854,956,671,950 is 1115510727100.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
523 x 854 x 956 x 671 x 950 = 272184617412400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
523 : 1, 523
854 : 1, 2, 7, 14, 61, 122, 427, 854
956 : 1, 2, 4, 239, 478, 956
671 : 1, 11, 61, 671
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,854,956,671,950, is 1.
Now, the common factors can be found like this.
523:523
854:2x 7x 61
956:2x 2x 239
671:11x 61
950:2x 5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 61 = 244
Therefore, the value for common factors is 244.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 272184617412400/(1x244)
LCM = 272184617412400/244
LCM = 1115510727100
Thus, we can understand that the LCM of 523,854,956,671,950 is 1115510727100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 523, 854, 956, 671, 950
1. What is the LCM of 523, 854, 956, 671, 950?
Answer: LCM of 523, 854, 956, 671, 950 is 1115510727100.
2. How to calculate the LCM of 523, 854, 956, 671, 950?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 523, 854, 956, 671, 950.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.